The aim of this course is to emphasize the application of operations research for solving business problems and to introduce various statistical quality control tools and techniques which are necessary skills for a quality professional.

After completing this course, the students should

understand common and important business problems;

develop problem modeling and solving skills and learn how to make intelligent business decisions from the point of view of optimization;

able to solve quality-related problems using different methods and tools of statistical quality control;

At the end of the course, the students will be able to

know how to translate a real-world problem, given in words, into a mathematical formulation;

critically analyze and interpret results and present this in both oral and written form;

understand the purpose and function of statistical quality control and basic concept of quality improvement.

Operation Research: Meaning and scope of operation research and basic elements of Linear Programming (LP). Mathematical concept of LP, Formulation of LP problems (LPP). Solution of LPP, Graphical and Simplex methods,  Fundamental theorem of LP, Duality theorem, Sensitivity analysis, Parametric programming, Integer LP, Solution of mixed integer, Integer programming problem of cutting plane method, Transportation problem.

Nonlinear Programming: Introduction, Graphic solution method, General non-LPP, Mathematical background, Lagrange multipliers method, Kuhn-Tucker conditions, Quadratic programming (QP), Wolfe’s modified simplex method, Beale’s QPP algorithm.

Game Theory: Basic concept, Two and n-persons zero-sum game, Game without saddle points, Graphic methods for 2 × n and m × 2 games, Minimax of saddle point theorems, Fundamental theorems of matrix games, Principle of dominance, Connection between games and LP.

Quality Control: Basic ideas behind manufacturing process. Meaning of statistical quality control, Process and product controls, Causes of variation in quality product. Basic principles of quality control, Control chart technique, Various attribute and variable control charts. Acceptance sampling and sampling inspection. Sampling versus screening, Sampling plans: Single, Double, Multiple and Continuous, OC, ASN, AOQ, AQQL and other Characteristics of sampling plans.

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